1461197307192 has 768 divisors, whose sum is σ = 4847539737600. Its totient is φ = 363785748480.

The previous prime is 1461197307179. The next prime is 1461197307197. The reversal of 1461197307192 is 2917037911641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461197307197) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3374589408 + ... + 3374589840.

It is an arithmetic number, because the mean of its divisors is an integer number (6311900700).

Almost surely, 2^{1461197307192} is an apocalyptic number.

1461197307192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461197307192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423769868800).

1461197307192 is an abundant number, since it is smaller than the sum of its proper divisors (3386342430408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1461197307192 is a wasteful number, since it uses less digits than its factorization.

1461197307192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 1461197307192 in words is "one trillion, four hundred sixty-one billion, one hundred ninety-seven million, three hundred seven thousand, one hundred ninety-two".